Abstract
Kinetic Fokker–Planck (FP) methods for modeling rarefied gas flows have received increasing attention over the last few years. However, formulating such models for realistic multi-species gases is still an open subject of research. Therefore, in this letter, we develop a kinetic FP model for describing gas mixtures with particles interacting according to the variable hard-sphere interaction potential. In accordance with the kinetic FP framework, a stochastic solution algorithm is employed in order to solve the model on a particle level. Different test cases are carried out, and the performance of the proposed method is compared with the direct simulation Monte Carlo algorithm.
Highlights
Aerodynamic analysis of a spacecraft requires modeling of hypersonic, rarefied gas flows
direct simulation Monte Carlo (DSMC) is widely used to model rarefied gas flows, but its computational effort becomes significant for high pressure gases, so it is not suitable for handling flows that feature locally small Knudsen numbers
Since no collisions have to be calculated in the kinetic Fokker– Planck (FP) method, the computational effort of this method is independent of the Knudsen number
Summary
The proposed kinetic FP model is applied to different test cases in order to check its performance. Reference DSMC simulations are performed, assuming the same VHS collision model. To check the performance of the model in predicting shear stresses and heat fluxes, a supersonic Couette flow is investigated. The higher wall moves in the y-direction with a velocity of vw = 1000 m/s while the lower wall is stationary Both walls are separated by a distance of 1 m, which is used as a reference length for defining the Knudsen number. For both collision models, a significant temperature slip occurs at walls. Separation effects in the species density and temperature distributions as well as shear stresses and heat fluxes are correctly predicted. The spatial and temporal discretization is set to resolve the particle mean free path and the mean collision time
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